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3 years ago

Factorize 1-(3x-1)^2

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Step-by-step explanation:

(1+3x-1)×{1-(3x-1)}

=3x.(1-3x+1)

=3x.3x

=9x^2.

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3 years ago

the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10

Pani-rosa [81]

Answer:

The distance the Bensons had traveled from their home $3\frac{1}{2}$ hours after picking up their grand parents 292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = $3\frac{1}{2}$ hours, we get;

$d = 55 \times 3\frac{1}{2} + 100 = 292.5 \ miles$

Therefore, the distance the Bensons had traveled from their home $3\frac{1}{2}$ hours after picking up their grand parents = 292.5 miles.

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3 years ago

The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is

emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8] (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation. Solve using factoring...

(1/4)b² + 4b - 48 = 0 (subtract 48 from both sides)

b² + 16b - 192 = 0 (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0 (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0

b = -24

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

b = 8

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

h = (1/2)(8) + 8

h = 4 + 8

h = 12

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3 years ago

Factorize 1-(3x-1)^2​

Factorize 1-(3x-1)^2